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Finding the Third Proportional to 485,398 and 759,784

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Solution

The third proportional to 485,398 and 759,784 is: 1,189,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,398 : 759,784 = 759,784 : x
  2. Step 2: Convert to fraction form
    485,398/759,784 = 759,784/x
  3. Step 3: Cross multiply
    485,398x = 759,784 × 759,784
  4. Step 4: Simplify right side
    485,398x = 577,271,726,656
  5. Step 5: Solve for x
    x = 577,271,726,656/485,398
  6. Step 6: Final answer
    x = 1,189,275.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.